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Finding the Fourth Proportional to 774.70, 1,162.32 and 342.16

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Solution

The fourth proportional to 774.70, 1,162.32 and 342.16 is: 513.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.70 : 1,162.32 = 342.16 : x
  2. Step 2: Convert to fraction form
    774.70/1,162.32 = 342.16/x
  3. Step 3: Cross multiply
    774.70x = 1,162.32 × 342.16
  4. Step 4: Simplify right side
    774.70x = 397,699.41
  5. Step 5: Solve for x
    x = 397,699.41/774.70
  6. Step 6: Final answer
    x = 513.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.